INSTABILITY INTERVALS FOR HILL'S EQUATION WITH SYMMETRIC SINGLE-WELL POTENTIAL

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Coskun H., Baskaya E., Kabatas A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.71, sa.6, ss.977-983, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11253-019-01692-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.977-983
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

With the help of an auxiliary eigenvalue problem, we deduce some explicit estimates for the periodic and semiperiodic eigenvalues and the lengths of instability intervals for Hill's equation with symmetric single-well potentials. We also establish bounds for the gaps in the sets of Dirichlet and Neumann eigenvalues.